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Finding the Fourth Proportional to 298.59, 448.09 and 134.11

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Solution

The fourth proportional to 298.59, 448.09 and 134.11 is: 201.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.59 : 448.09 = 134.11 : x
  2. Step 2: Convert to fraction form
    298.59/448.09 = 134.11/x
  3. Step 3: Cross multiply
    298.59x = 448.09 × 134.11
  4. Step 4: Simplify right side
    298.59x = 60,091.89
  5. Step 5: Solve for x
    x = 60,091.89/298.59
  6. Step 6: Final answer
    x = 201.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.